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iVinArrow [24]
3 years ago
12

If Chung's go-kart can travel 48 miles on 1 gallon of gas, how far can his go-kart travel on 1.15 gallons of gas?

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

Answer:

Chung's go-kart can travel 55.2 miles on 1.15 gallon of gas.

Step-by-step explanation:

Consider the provided information.

Chung's go-kart can travel 48 miles on 1 gallon of gas

This can be written as:

48 miles = 1 gallon

We need to find how far can his go-kart travel on 1.15 gallons of gas.

To find this multiply both the sides by 1.15

48×1.15 miles = 1×1.15 gallon

55.2 miles = 1.15 gallon

Hence, Chung's go-kart can travel 55.2 miles on 1.15 gallon of gas.

Nataliya [291]3 years ago
3 0
So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.
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The graph below shows the value of Edna's profits f(t), in dollars, after t months:
umka21 [38]
Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), x=6 and x=18 are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
x=6
x-6=0
x=18
x-18=0

(x-6)(x-18)=x^{2}-6x-18x+108
=x^{2}-24x+108

Now that we have our quadratic function, we are going to use the average formula: m= \frac{f(9)-f(3)}{9-3}
where
f(9) is the function evaluated at  the <span>9th month
</span>f(3) is the function evaluated at the 3rd month 

m= \frac{f(9)-f(3)}{9-3}
m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}
m= \frac{-27-45}{6}
m= \frac{-72}{6}
m=-12

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>

6 0
3 years ago
Read 2 more answers
F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What<br> is the value of g(f(2)) ?
elixir [45]
<h2>Answer:    g(f(2))  = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

             = 11

6 0
2 years ago
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A ball is thrown from first base to second base and then from second base to home plate. How many feet has the ball been thrown?
RSB [31]

Answer:

B. 90 + 90 √2

Step-by-step explanation:

From first base to the second base, it will travel 90 feet.

From the second base to the home plate, it will travel a longer distance.  How much?  Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.

The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:

h²=90² + 90²

h = √(2 * 90²)

h = 90 √2

So, from second base to home plate, the ball has traveled 90 √2

Overall: 90 + 90 √2

8 0
3 years ago
Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different
DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 ingredients are chosen from a set of 6, hence:

C_{6,3} = \frac{6!}{3!3!} = 20

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0
2 years ago
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kramer

Answer:

It is d.

Step-by-step explanation:

May i have brainliest

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